An elastic beam in an equilibrium state whose both ends are simply supported can be described by fourth-order boundary value problems. In this paper, drawing inspiration from some three critical point theorems and using different suitable assumptions, we discuss the existence of three solutions for discrete fourth-order boundary value problems with multiple parameters. Our approach is based on recent variational methods for smooth functionals defined on reflexive Banach spaces. Some examples are presented to support the application of our main results.

Existence of three solutions for discrete fourth-order value problem with multiple parameters

S. Heidarkhani;M. Imbesi;
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Abstract

An elastic beam in an equilibrium state whose both ends are simply supported can be described by fourth-order boundary value problems. In this paper, drawing inspiration from some three critical point theorems and using different suitable assumptions, we discuss the existence of three solutions for discrete fourth-order boundary value problems with multiple parameters. Our approach is based on recent variational methods for smooth functionals defined on reflexive Banach spaces. Some examples are presented to support the application of our main results.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3132786
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